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31342624313 = 71121310128183
BaseRepresentation
bin11101001100001010…
…100111111000111001
32222220022200021200112
4131030022213320321
51003142202434223
622222033114105
72156461624310
oct351412477071
988808607615
1031342624313
1112324104600
1260a86b8935
132c565a5260
1417348a3277
15c36938778
hex74c2a7e39

31342624313 has 48 divisors (see below), whose sum is σ = 42822544128. Its totient is φ = 22320144000.

The previous prime is 31342624301. The next prime is 31342624319.

31342624313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31342624313 - 24 = 31342624297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31342624313.

It is not an unprimeable number, because it can be changed into a prime (31342624319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1098020 + ... + 1126202.

It is an arithmetic number, because the mean of its divisors is an integer number (892136336).

Almost surely, 231342624313 is an apocalyptic number.

It is an amenable number.

31342624313 is a deficient number, since it is larger than the sum of its proper divisors (11479919815).

31342624313 is a wasteful number, since it uses less digits than its factorization.

31342624313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28326 (or 28315 counting only the distinct ones).

The product of its digits is 31104, while the sum is 32.

The spelling of 31342624313 in words is "thirty-one billion, three hundred forty-two million, six hundred twenty-four thousand, three hundred thirteen".

Divisors: 1 7 11 13 77 91 101 121 143 707 847 1001 1111 1313 1573 7777 9191 11011 12221 14443 28183 85547 101101 158873 197281 310013 366379 1112111 2170091 2564653 2846483 3410143 4030169 19925381 23871001 28211183 31311313 37004279 44331859 219179191 259029953 310323013 344424443 407047069 2410971101 2849329483 4477517759 31342624313